Tim had $190 less than Jack. If Jack spends $170 and Tim's mother gave Tim $590, Jack will have
16 as much money as Tim. How much money did Tim and Jack have?
| |
Make p the same
(1)x6 = (3) |
Tim
(1) |
Jack
(2) |
| Before |
6 u |
1 u |
1 u + 190 |
| Change |
- 1020 |
- 170 |
+ 590 |
| After |
6 p |
1 p |
6 p |
Since Tim had $190 less than Jack, this means Jack had $190 more than Tim.
1 u - 170 = 1 p --- (1)
1 u + 190 + 590 = 6 p
1 u + 780 =
6 p --- (2)
Make p the same.
(1)
x6
6 u - 1020 =
6 p --- (3)
(3) = (2)
6 u - 1020 = 1 u + 780
6 u - 1 u = 780 + 1020
5 u = 1800
1 u = 1800 ÷ 5 = 360
Total amount that Tim and Jack had
= 1 u + 1 u + 190
= 2 u + 190
= 2 x 360 + 190
= 720 + 190
= $910
Answer(s): $910
